Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2991/449,9439/7139
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2991,9439
Greatest Common Factor of Numerators i.e. GCF of 2991,9439 is 1 .
LCM of Denominators means LCM of 449,7139 as per the given fractions.
LCM of 449,7139 is 3205411 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2991,9439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2991
List of positive integer factors of 2991 that divides 2991 without a remainder.
1,3,997,2991
Factors of 9439
List of positive integer factors of 9439 that divides 9439 without a remainder.
1,9439
Greatest Common Factor
We found the factors 2991,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 2991,9439 is 1.
Lets's calculate LCM of 449,7139
Given numbers has no common factors except 1. So, there LCM is their product i.e 3205411
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3205411
Therefore, the GCF of Fractions 2991/449,9439/7139 is 1/3205411
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 449,7139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,7139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,7139) x common factors =1 x 1 = 1
LCM(449,7139) = ( 449 × 7139 ) / 1
LCM(449,7139) = 3205411 / 1
LCM(449,7139) = 3205411
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2991/449, 9439/7139?
Answer: GCF of Numerators as per given numbers 2991/449, 9439/7139 is
GCF of Numerators i.e. for 2991,9439 is 1
LCM of denominators i.e. for 449,7139 is 3205411.
Thus, GCF of Fractions is 1/3205411.Finally, GCF of Fractions for 2991/449, 9439/7139 is 1/3205411.